A difference method for a nonlinear system of elliptic equations with mixed derivatives
Z. Kowalski (1980)
Annales Polonici Mathematici
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Z. Kowalski (1980)
Annales Polonici Mathematici
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F. Brezzi, J., Jr. Douglas, L.D. Marini (1985)
Numerische Mathematik
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E. Shamir (1963)
Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
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M. Jai, G. Bayada, M. Chambat (1992)
Numerische Mathematik
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F. Brezzi, J., Jr. Douglas, R. Durán (1987)
Numerische Mathematik
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Leila Slimane, Abderrahmane Bendali, Patrick Laborde (2010)
ESAIM: Mathematical Modelling and Numerical Analysis
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A general setting is proposed for the mixed finite element approximations of elliptic differential problems involving a unilateral boundary condition. The treatment covers the Signorini problem as well as the unilateral contact problem with or without friction. Existence, uniqueness for both the continuous and the discrete problem as well as error estimates are established in a general framework. As an application, the approximation of the Signorini problem by the lowest order mixed...